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Finding the Fourth Proportional to 20,803.20, 31,186.08 and 7,646.64

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Solution

The fourth proportional to 20,803.20, 31,186.08 and 7,646.64 is: 11,463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.20 : 31,186.08 = 7,646.64 : x
  2. Step 2: Convert to fraction form
    20,803.20/31,186.08 = 7,646.64/x
  3. Step 3: Cross multiply
    20,803.20x = 31,186.08 × 7,646.64
  4. Step 4: Simplify right side
    20,803.20x = 238,468,726.77
  5. Step 5: Solve for x
    x = 238,468,726.77/20,803.20
  6. Step 6: Final answer
    x = 11,463.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.